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Finding the Fourth Proportional to 2,326.87, 3,486.66 and 1,978.77

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Solution

The fourth proportional to 2,326.87, 3,486.66 and 1,978.77 is: 2,965.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.87 : 3,486.66 = 1,978.77 : x
  2. Step 2: Convert to fraction form
    2,326.87/3,486.66 = 1,978.77/x
  3. Step 3: Cross multiply
    2,326.87x = 3,486.66 × 1,978.77
  4. Step 4: Simplify right side
    2,326.87x = 6,899,303.86
  5. Step 5: Solve for x
    x = 6,899,303.86/2,326.87
  6. Step 6: Final answer
    x = 2,965.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.